Meeting Place: HA, Room 261
Meeting Time: T H 11:20-12:35
Instructor: Dr. Demetrio Labate
Office: HA, Room 332
Office Hours: Tue 1:00-2:00 pm, and Thu 10:00-11:00 am. Also by appointment (contact me by e-mail at: dlabate@ncsu.edu or talk to me in class to find a convenient meeting time)
TEXTBOOK: The lectures will mostly follow Real Analysis. Modern techniques and their applications, 2nd Edition, by Gerald B. Folland, Wiley, 1999.
COURSE PURPOSE: This course is an introduction to real analysis and introduces some of the major mathematical tools that are used in applied mathematics, physics, and engineering. For example: the theory of Lebesgue integration is the `right' integration theory in most application from mathematics and physics; functions of bounded variations are widely used in PDE; the theory of Lp spaces spaces is used in PDE and control theory; Fourier analysis is a basic tool in ODE, PDE and engineering. The main topics covered in this course are:
HOMEWORK: Homework problems will be assigned every one or two weeks, but will not be collected. Remember: It is strongly encouraged to do the homework problems, since your homework is the most important part of your learning process. Suggested problems:
EXAMINATIONS: There will be four take-home tests during the semester and a take-home final exam. It is very important that your work is written in a concise and rigorous manner, as well as in a perfectly readable handwriting (or typed). Tests:
MAKE-UP EXAMS: There will be NO make-up exams. The attendance policy is consistent with the Academic Regulations which can be found at: http://www2.ncsu.edu/unity/project/www/ncsu/provost/info/academic_regulations/attend/reg.htm (link)
GRADING: Your
overall score will then be determined using the following weights:
Tests:
80 %
Final
Exam: 20 %
A: 88-100, B: 75-87, C: 62-74, D: 49-61, F: 0-48.
An overall score of 97 or above is guaranteed a grade of A+. There will be a gray area of a few points points below the specified numerical cutoff grades (except 97), within which a +/- system grade will be used. I will also take into account whether your test performance has been improving or declining and your participation to decide whether you get the lower or higher grade.
ACADEMIC INTEGRITY: Students are expected to follow the University guidelines on academic integrity found in the Code of Student Conduct (link).
STUDENTS WITH DISABILITIES: Reasonable accomodations will be made for students with verifiable disabilities. In order to take advantage of available accomodations, students must register with the Disability Services at 1900 Student Health Center, campus Box 7509, tel. 515-7653. The NC State policy on working with students with disabilities can be found here.